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Find n, if: nn(15-n)!(13-n)! = 12

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प्रश्न

Find n, if: `((15 - "n")!)/((13 - "n")!)` = 12

बेरीज
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उत्तर

`((15 - "n")!)/((13 - "n")!)` = 12

∴ `((15 - "n")(14 - "n")(13 - "n")!)/((13 - "n")!)` = 12

∴ (15 – n) (14 – n) = 4 × 3

Comparing on both sides, we get

∴ 15 – n = 4

∴ n = 11

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पाठ 3: Permutations and Combination - Exercise 3.2 [पृष्ठ ४९]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
पाठ 3 Permutations and Combination
Exercise 3.2 | Q 6. (ii) | पृष्ठ ४९

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